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\(C^\infty\)-diffeomorphismen semianalytischer und subanalytischer Mengen. (German) Zbl 0507.32004


MSC:

32B20 Semi-analytic sets, subanalytic sets, and generalizations
32C05 Real-analytic manifolds, real-analytic spaces
26E05 Real-analytic functions
26E10 \(C^\infty\)-functions, quasi-analytic functions

Citations:

Zbl 0297.32008
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References:

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[3] P.M. Eakin and G.A. Harris : When \Phi (f) convergent implies f is convergent . Math. Ann. 229 (1977) 201-210. · Zbl 0355.13010 · doi:10.1007/BF01391465
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[5] A.M. Gabriélov : Formal relations between analytic functions . Funct. Anal. Appl. 5 (1971) 318-319. · Zbl 0254.32009 · doi:10.1007/BF01086744
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[7] S. Lojasiewicz : Ensembles sémi-analytiques. polycopie . IHES (1965).
[8] B. Malgrange : Sur les fonctions différentiables et les ensembles analytiques . Bull. Soc. Math. France 91 (1963) 113-127. · Zbl 0113.06302 · doi:10.24033/bsmf.1592
[9] B. Malgrange : Ideals of differentiable functions . Oxford University Press (1966). · Zbl 0177.17902
[10] A. Sard : The measure of critical values of differentiable maps . Bull. AMS 48 (1942) 883-890. · Zbl 0063.06720 · doi:10.1090/S0002-9904-1942-07811-6
[11] K. Spallek : Über Singularitäten analytischer Mengen . Math. Ann. 172 (1967) 249-268. · Zbl 0195.09401 · doi:10.1007/BF01351193
[12] K. Spallek : Differenzierbare Räume . Math. Ann. 180 (1969) 269-296. · Zbl 0169.52901 · doi:10.1007/BF01351881
[13] K. Spallek : l- Platte Funktionen auf semianalytischen Mengen . Math. Ann. 227 (1977) 277-286. · Zbl 0333.32025 · doi:10.1007/BF01361860
[14] J.C. Tougeron : Idéaux de fonctions différentiables . Erg. d. Math. 71. Springer (1972). · Zbl 0251.58001
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